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3 years ago

Leo, Kush and Mai share some money in the ratio 3:5:8

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

The total amount of money that they shared is $\£6,000$

Step-by-step explanation:

Let

x-----> amount of money Leo shares

y-----> amount of money Kush shares

z-----> amount of money Mai shares

we know that

$\frac{x}{y} =\frac{3}{5}$

$x=\frac{3}{5}y$ -----> equation A

$\frac{y}{z} =\frac{5}{8}$

$z=\frac{8}{5}y$ -----> equation B

$\frac{x}{z} =\frac{3}{8}$

$z=\frac{8}{3}x$ -----> equation C

$y=x+750$ ------> equation D

substitute equation A in equation D and solve for y

$y=\frac{3}{5}y+750$

$y-\frac{3}{5}y=750$

$\frac{2}{5}y=750$

$y=750*5/2=\£1,875$

Find the value of x (equation A)

$x=\frac{3}{5}(1,875)=\£1,125$

Find the value of z (equation C)

$z=\frac{8}{3}(1,125)=\£3,000$

therefore

The total amount of money is equal to

$x+y+z=\£1,125+\£1,875+\£3,000=\£6,000$

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Answer:

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Step-by-step explanation:

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3 years ago

Godel is asked to perform the addition problem below. Godel believes that because there are more negative numbers, the answer wi

dem82 [27]

Answer:

$-7+12-3+9+(-5)=6$

Godbel is wrong in the reasoning as the answer does not depend on the number of negative numbers in the expression. Instead it depends on the value of the sum of positive terms and the value of the sum of negative terms. If the values of sum of positive terms is greater than the value of the sum of negative terms then the answer will be a positive and vice versa.

Step-by-step explanation:

Given expression:

$-7+12-3+9+(-5)$

To evaluate the expression.

Solution:

We have: $-7+12-3+9+(-5)$

Removing parenthesis first as a positive and negative multiply to give a negative.

⇒ $-7+12-3+9-5$

Then we can group the positives and negatives together.

⇒ $12+9-7-3-5$

⇒ $21-7-3-5$

Since the negatives combine by getting added up with the sum being negative, so we have:

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As, we can see the positive value (21) is greater than the negative value (15) and hence the answer would be a positive.

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4 years ago

A fence must be built to enclose a rectangular area of ft. Fencing material costs per foot for the two sides facing north and so

avanturin [10]

The complete question is

A fence must be built to enclose a rectangular area of 5000ft^2. Fencing material costs $1 per foot for the two sides facing north and south and 2$ per foot for the other two sides. Find the cost of the least expensive fence.

Answer:

Total cost will be $400

Step-by-step explanation:

Let x = be other side

y = north and south side

Area = x*y = 5000

Perimeter of the rectangle = 2x + 2y

cost of fencing = 2(1)*5000/x + 2*2x

= 10000/x + 4x

now to get the least we will take the derivative of this

C'(x) = 10000(-1/x^2) + 4 =0

x^2 = 2500

x= 50ft cost = 2*$2*50 = $200

y= 100ft cost = 2*$1*100 = $200

Total cost = $400

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3 years ago

How would you describe your understanding of congruence and similarity?

sladkih [1.3K]

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3 years ago

. 1<br> Find f<br> for the function f.<br> f(x) = 3x² + 3, x > 0<br> And find the domain

konstantin123 [22]

Answer:

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8 0

3 years ago